Homotopy Type Theory
ordered field > history (Rev #3, changes)
Showing changes from revision #2 to #3:
Added | Removed | Changed
Definition
With strict order
An ordered field is a strictly ordered integralHeyting field -algebra such that for every element with such that, there is an element such that .
With positivity
An ordered field is a commutative ring with a predicate such that
- for every term , if is not positive and is not positive, then
- for every term , if is positive, then is not positive.
- for every term , , if is positive, then either is positive or is positive.
- for every term , , if is positive and is positive, then is positive
- for every term , , if is positive and is positive, then is positive
- for every term , if is positive, then there exists a such that and
Examples
See also
Revision on June 12, 2022 at 20:52:20 by
Anonymous?.
See the history of this page for a list of all contributions to it.